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"the above procedure" is grammatically correct and commonly used in written English.
It is used to refer to a procedure mentioned earlier in the same text or document. Example: Please follow the above procedure carefully in order to complete the application process successfully.
Dictionary
the above procedure
adverb
Directly overhead; vertically on top of.
Exact(59)
4. Repeat the above procedure until all the batter is used.
The above procedure, however, can be problematic.
Figure12 generalizes the above procedure.
The above procedure was repeated.
Otherwise, repeat the above procedure.
Algorithm 4 describes the above procedure.
The above procedure yielded 829 articles.
The above procedure is shown in Fig. 4.
By the above procedure, we can evaluate (varphi ( N )) efficiently.
The above procedure still has some drawbacks, however.
The above procedure is summarized in Table 1.
More suggestions(19)
the aforementioned procedure
the previous procedure
the below procedure
the earlier procedure
the aforesaid procedure
the better procedure
the best procedure
the preceding procedure
the above text
the above inference
the above example
the above evidence
the above argument
the above account
the above score
the above article
the above assignment
the above reason
the above summary
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com